Details

analyze51.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.1b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `insert-posit16` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 44

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x 4/29) 3)
10.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

series472.0ms

Counts

2 → 6

Calls

2 calls:

370.0ms	(*.f64 (-.f64 x 4/29) 3)
102.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	449	9
1	449	9
0	449	9
1	449	9
0	1	3
1	1	3
0	4180	9
1	4180	9
0	4180	9
1	4180	9
0	1	3
1	1	3

simplify185.0ms

Counts

50 → 50

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4860	475
1	4860	475

prune37.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

10.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	462	9
1	462	9
0	462	9
1	462	9
0	1	3
1	1	3

simplify49.0ms

Counts

26 → 26

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5058	275

prune17.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 16/841)
0.6b	(.f64 3 (-.f64 (.f64 x x) 16/841))
3.2b	(.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841)))
10.8b	(/.f64 (.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
11×	`pow1_binary64`
10×	`associate-*r/_binary64`
9×	`add-cube-cbrt_binary64`
7×	`sub-neg_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`associate-r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `associate-/r*_binary64` `flip3--_binary64` `times-frac_binary64` `insert-posit16` `flip--_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

4 → 92

Calls

4 calls:

5.0ms	(-.f64 (*.f64 x x) 16/841)
9.0ms	(.f64 3 (-.f64 (.f64 x x) 16/841))
11.0ms	(.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841)))
16.0ms	(/.f64 (.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))

series395.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(-.f64 (*.f64 x x) 16/841)
154.0ms	(.f64 3 (-.f64 (.f64 x x) 16/841))
61.0ms	(.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841)))
130.0ms	(/.f64 (.f64 y (.f64 3 (-.f64 (*.f64 x x) 16/841))) (+.f64 x 4/29))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	594	9
1	594	9
0	594	9
1	594	9
0	1	3
1	1	3
0	168	9
1	168	9
0	168	9
1	168	9
0	1	3
1	1	3
0	696	9
1	696	9
0	696	9
1	696	9
0	1	3
1	1	3
0	178	9
1	178	9
0	178	9
1	178	9
0	1	3
1	1	3

simplify94.0ms

Counts

104 → 104

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	6411	1424

prune69.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) (sqrt.f64 y))
0.2b	(.f64 (.f64 (*.f64 (-.f64 x 4/29) 3) (sqrt.f64 y)) (sqrt.f64 y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-r_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*l/_binary64`
11×	`*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `insert-posit16` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 74

Calls

3 calls:

8.0ms	(*.f64 (-.f64 x 4/29) 3)
12.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) (sqrt.f64 y))
18.0ms	(.f64 (.f64 (*.f64 (-.f64 x 4/29) 3) (sqrt.f64 y)) (sqrt.f64 y))

series576.0ms

Counts

3 → 9

Calls

3 calls:

371.0ms	(*.f64 (-.f64 x 4/29) 3)
103.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) (sqrt.f64 y))
101.0ms	(.f64 (.f64 (*.f64 (-.f64 x 4/29) 3) (sqrt.f64 y)) (sqrt.f64 y))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	468	9
1	468	9
0	468	9
1	468	9
0	1	3
1	1	3
0	462	9
1	462	9
0	462	9
1	462	9
0	1	3
1	1	3
0	4180	9
1	4180	9
0	4180	9
1	4180	9
0	1	3
1	1	3

simplify180.0ms

Counts

83 → 83

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4849	905
1	4849	905

prune43.0ms

Filtered

49 candidates to 83 candidates (-69.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

regimes26.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample349.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
2.0ms	73×	body	80	invalid

Iter	Nodes	Cost
0	594	9
1	594	9
0	594	9
1	594	9
0	1	3
1	1	3
0	168	9
1	168	9
0	168	9
1	168	9
0	1	3
1	1	3
0	696	9
1	696	9
0	696	9
1	696	9
0	1	3
1	1	3
0	178	9
1	178	9
0	178	9
1	178	9
0	1	3
1	1	3

Iter	Nodes	Cost
0	594	9
1	594	9
0	594	9
1	594	9
0	1	3
1	1	3
0	168	9
1	168	9
0	168	9
1	168	9
0	1	3
1	1	3
0	696	9
1	696	9
0	696	9
1	696	9
0	1	3
1	1	3
0	178	9
1	178	9
0	178	9
1	178	9
0	1	3
1	1	3

Details

analyze51.0ms

sample13.0ms

simplify22.0ms

prune3.0ms

localize5.0ms

rewrite19.0ms

series472.0ms

simplify185.0ms

prune37.0ms

localize5.0ms

rewrite11.0ms

series100.0ms

simplify49.0ms

prune17.0ms

localize8.0ms

rewrite45.0ms

series395.0ms

simplify94.0ms

prune69.0ms

localize7.0ms

rewrite40.0ms

series576.0ms

simplify180.0ms

prune43.0ms

regimes26.0ms

bsearch0.0ms

simplify9.0ms

end0.0ms

sample349.0ms

Profiling

Iter	Nodes	Cost
0	594	9
1	594	9
0	594	9
1	594	9
0	1	3
1	1	3
0	168	9
1	168	9
0	168	9
1	168	9
0	1	3
1	1	3
0	696	9
1	696	9
0	696	9
1	696	9
0	1	3
1	1	3
0	178	9
1	178	9
0	178	9
1	178	9
0	1	3
1	1	3